Question

Equation of a parabola whose vertex is (-3, 4),
axis is parallel to the y-axis and the latus
rectum is 12 is
(A) (y – 4) = 12(x + 3)
(B) (y + 4)2 = 12(x – 3)
(C) (x + 3)2 = 12(y – 4)
(D) (x - 3)2 = 12(y + 4)​

Answer 1

Answer:

(x+3)²=12(y-4)

Step-by-step explanation:

Equation of parabola,

(x-h)²=4a(y-k)

(h,k)=(-3,4)

(x-3)²=4a(y-4)

Length of latus rectum is equal to 4a in a parabola.

4a=12

(x-3)²=12(y-4)